Categorical Probabilistic Theories

zbMath1486.81005arXiv1701.08075MaRDI QIDQ3384954

Carlo Maria Scandolo, Stefano Gogioso

Publication date: 17 December 2021

Full work available at URL: https://arxiv.org/abs/1701.08075

Mathematics Subject Classification ID

General and philosophical questions in quantum theory (81P05) Special categories (18B99) Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Quantum state spaces, operational and probabilistic concepts (81P16)

Related Items (5)

Higher-order CPM Constructions ⋮ Coend Optics for Quantum Combs ⋮ Necessary and sufficient conditions on measurements of quantum channels ⋮ Kindergarden quantum mechanics graduates \textit{...or how I learned to stop gluing LEGO together and love the ZX-calculus} ⋮ A computer scientist’s reconstruction of quantum theory*

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Bridging the gap between general probabilistic theories and the device-independent framework for nonlocality and contextuality
• Causal categories: relativistically interacting processes
• Quantum theory, namely the pure and reversible theory of information
• Categories of quantum and classical channels
• Terminality implies no-signalling\dots and much more than that
• Quantum theory: informational foundations and foils
• Information Processing in Convex Operational Theories
• Categorical quantum mechanics
• Dagger Compact Closed Categories and Completely Positive Maps
• Idempotents in Dagger Categories
• The Feynman problem and fermionic entanglement: Fermionic theory versus qubit theory
• Quantum linear network coding as one-way quantum computation
• Picturing Quantum Processes
• Reference frames, superselection rules, and quantum information
• The Communication Complexity of Non-signaling Distributions
• The ZX-calculus is complete for stabilizer quantum mechanics
• Theory-independent limits on correlations from generalized Bayesian networks
• A Diagrammatic Axiomatisation for Qubit Entanglement
• A new description of orthogonal bases
• Operational axioms for diagonalizing states
• A Bestiary of Sets and Relations
• The sheaf-theoretic structure of non-locality and contextuality
• Interacting quantum observables: categorical algebra and diagrammatics
• A derivation of quantum theory from physical requirements
• Quantum picturalism for topological cluster-state computing
• Entanglement and thermodynamics in general probabilistic theories
• Contextuality, Cohomology and Paradox
• Generalised Mermin-type non-locality arguments
• An Operational Interpretation of Negative Probabilities and No-Signalling Models
• Beyond Bell's theorem. II: Scenarios with arbitrary causal structure

This page was built for publication: Categorical Probabilistic Theories